Answer and Step-by-step explanation: Law of deduction is a mathematical logic that states the following:
1) If p happens, then q happens;
2) p is true;
Then, a there is a third statement that is
3) q is also true.
In this question,
If a polynomial is prime, then it cannot be factored.
Statement p is that 5x + 13y is a polynomial and is prime, i.e., p is true.
Statement q is that "it cannot be factored"
Therefore, 5x + 13y cannot be factored.
The law of detachment is used to confirm or refute a claim.
The true statement is: 5x + 13y cannot be factored
The law of detachment states that; for statements p and q
(1) If p then q
(2) p
If the above statements are true, then the following statement is true
(3) q
The statements in the question can be represented as:
(1) If 5x + 3y is a polynomial and is prime then it cannot be factored
(2) It cannot be factored
Using the above representations of p and q, as an illustration; the third statement would be:
(3) 5x + 3y is a polynomial and is prime
Since the third statement is true, then we can conclude that
5x + 13y cannot be factored
Read more about law of detachment at:
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7x + (9x + 8) = (7x + 9x) + 8 is what property
please help asap :-)
X: 22
m<( 19x + 3): 22
m<( 9x + 16): 25
m<( 6x + 15): 21
How many types of triangle ? write names
Answer:
equilateral triangle
scalene triangle
acute triangle
isosceles triangle
obtuse triangle
right triangle
what property is 8a+4=4+8a
Answer: All real numbers are solutions
Step-by-step explanation:
is 6.3434 rational or irrational
Answer:
it is a rational number
Step-by-step explanation:
Helppp!!! Which factor is important to consider when buying a car for commuting long
distances to work?
Advertising campaigns
O Horsepower
O Exterior color
Maintenance plan
Answer:
I'd say maintenance plan.
Step-by-step explanation:
I know I'm super late but maintenance plan is important for long distances incase something goes wrong while you're too far from home or something.
A maintenance plan is important to consider when buying a car for commuting long distances to work.
What is a Car?
The car is a four-wheeled road vehicle that is powered by an engine and is able to carry a small number of people.
How to solve it?The maintenance plan is important for long distances in case something goes wrong while you're too far from home or something.
Learn more about Car:
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Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
plzzzz help will give brain list !!!!!!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
the answer is 3, because you always have to add the numbers in paranthises first. and 5+3= 8. u bring down the -5 and you have -5 + 8 = 3.
Answer:
3
Step-by-step explanation:
Always do the stuff in the parentheses first
-5 + (5 + 3)
-5 + 8
= 3
4. What is the prime factorization of 610?
Answer: Positive Integer factors of 610 = 2, 5, 10, 61, 610 divided by 2, 5, 61, gives no remainder. They are integers and prime numbers of 610, they are also called composite number.
Step-by-step explanation: In the answer hope it helps
The temperature went from -12°F to 18°F. How much did the temperature change?
Answer: the temperature went up by +30
Step-by-step explanation:
©Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How
many did Bridget get
Answer: 35 sweets
Step-by-step explanation:
2:5:2= 9
peter= 2/9 x a= 14
it then turns to
9/2 x 14= 63
so bridget will get:
5/9 x 63
35 sweets
Which of these can change while you’re reading?
A. The sound associated with each letter
B. Your purpose
C. The meaning of the words
D. Your reciting voice
Answer:
It’s B
Step-by-step explanation:
Leroy took a total of 10 pages of notes during 5 hours of class. In all, how many hours will Leroy have to spend in class before he will have a total of 20 pages of notes in his notebook? Solve using unit rates.
Answer:
20:10 10 hours
Step-by-step explanation:
10:5 * 2 = 20:10 or 10:5 / 5 : 2:1 * 20 = 20:10
How do you solve this 5b-28>27
can someone teach me how to solve this? the lesson didnt show anything about it
is 0.19 rational or irrational?
Answer:
this number is rational because you can write it as a fraction 19/100
4x + 6
7x+ 15
AC = 120. What
are AB and BC?
Answer:
AB = 42
BC = 78
Step-by-step explanation:
AB = 4x + 6
BC = 7x + 15
AC = 120
A to B plus B to C is the same distance as from A to C, which is 120.
AB + BC = AC
(4x + 6) + (7x + 15) = 120
4x + 7x + 6 + 15 = 120
11x + 21 = 120
Subtract 21 from both sides.
11x = 120 - 21 = 99
11x = 99
Divide both sides by 11.
x = 9
AB = 4x + 6 = 4*9 + 6 = 36 + 6 = 42
BC = 7x + 15 = 7*9 + 15 = 63 + 15 = 78
Answer:
AB = 42
BC = 78
Answer:
x = 9
AB = 42
BC = 78
Step-by-step explanation:
AB + BC = AC
4x + 6 + 7x + 15 = 120
11x + 21 = 120
11x = 99
x = 9
AB = 4x + 6 = 4(9) + 6 = 36 + 6 = 42
BC = 7x + 15 = 7(9) + 15 = 63 + 15 = 78
After distributing the terms (2x + 3) (4x – 5), you get a new expression of the form
ax+ bx + c
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
Value of a = 8
Value of b = 2
Value of c = - 10
Step-by-step explanation:
[tex](2x + 3)(4x - 5)[/tex]
[tex] = > 2x(4x - 5) + 3(4x - 5)[/tex]
[tex] = > 8 {x}^{2} - 10x + 12x - 15[/tex]
[tex] = > 8 {x}^{2} + 2x - 10[/tex]
As per the general form of a quadratic eqn. [tex]a {x}^{2} + bx + c[/tex]
Value of a = 8
Value of b = 2
Value of c = - 10
4(5a-2b)-2(4a-5b)
Expand the brackets and simplify the question
Answer:
12a+2b
Step-by-step explanation:
1. Expand by distributing terms.
20a-8b-2(4a-5b)20a−8b−2(4a−5b)
2. Expand by distributing terms.
20a-8b-(8a-10b)20a−8b−(8a−10b)
3. Remove parentheses.
20a-8b-8a+10b20a−8b−8a+10b
4.Collect like terms.
(20a-8a)+(-8b+10b)(20a−8a)+(−8b+10b)
5. Simplify.
12a+2b12a+2b
6.Answer
12a+2b
Greg can drive 160 miles with 5 gallons of gas how many miles can he drive on one gallon of gas
Answer:
160 / 5 = 32 miles
Step-by-step explanation:
Simplify by combining like terms.
6r+3s+2s+4r
Answer:
In combining like terms=6r+4r. 2s+3sMaking it=10r and 5r.
This method is used in like questions. Similar ones
Algebraic expression also.
Ask if you need further explanation.
Please,a Brainliest
Plz help ASAP I need to get this done
The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented by PH
in the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards
Answer:
A; the actual length of the land bridge from P to H is 50 yards
Step-by-step explanation:
Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.
Mathematically, to calculate this distance, we make use of the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)
Substituting these values
D = √(32-2)^2 + (15-55)^2
D = √(-30)^2 + (-40)^2
D = √(900 + 1600)
D = √(2,500)
D = 50 units
Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards
convert 5 milligrams Into grams
Answer:
500 grams
Step-by-step explanation:
will be the answer
hp it helps you
Answer:
0.005
Step-by-step explanation:
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons? helps
Answer:
198 miles
Step-by-step explanation:
1 gallon gets 18 miles, 18 times 11 equals 198
Write an equation for the description.
The difference between a number x and 18 is 23.
Liza draws an angle that measures 150 degrees.She then draws a ray that divides the angle into 2 equal parts. What is the measure of each smaller angle?
Step-by-step explanation:
Liza draws an angle that measures 150 degrees.She then draws a ray that divides the angle into 2 equal parts
The given angle measures 150 degrees
She draw a ray that divides 150 degrees in to two equal angles
So we divide the angle 150 into two equal angles
[tex]\frac{150}{2} =75[/tex]
Two equal angles measures 75 degree each
So the measure of each smaller angle is 75 degrees
Answer:
75 degree
Enter the value of 33 - 8 ÷ 4?
Answer:
31
Step-by-step explanation:
Following PEMDAS: Do the division first followed by the subtraction.
[tex]33-8\div4=33-2=31[/tex]
Answer:
31
Step-by-step explanation:
You would have to do 8 divided by 4 then you would have to subtract that answer by 33.So 8 divide by for is 2 so 33-2= 31.
if 2is the zero of the polynomial f(x)=x^2-8x+k then the value of k is
Answer:k=12
I hope this helps
Answer:
12
Step-by-step explanation:
zero of the polynomial is 2 ⇒ f(2) = 0
f(2) = 2² - 8 × 2 + k = 0
4 - 16 + k = 0
k = 12
find the sum 59.34+1.85
Answer:
61.19
Step-by-step explanation:
59.34+1.85=61.19
Answer:
61.19
Step-by-step explanation:
59.34+1.85=61.19 if this is correct i hope this does help u in simple mathematics
The expression 12.50h+b represents the amount of money in her savings account after she deposits her next paycheck. What does b represent in the expression? A. new savings account balance B. number of hours worked C. hourly pay rate D. current savings account balance
Answer:B number of hours worked
Step-by-step explanation:
It says after she puts in her next paycheck therefore she needs to work hours to get paid
